PAP Inscribed Angles & Segments in Circles

Front

What is the measure of an inscribed angle in a circle if the intercepted arc measures 45°?

Back

22.5°

Front

What is the relationship between an inscribed angle and its intercepted arc?

Back

The inscribed angle is half the measure of its intercepted arc.

Front

If angle ACB is inscribed in a circle and intercepts arc AB, what is m∠ACB if m(arc AB) = 90°?

Back

45°

Front

What is the measure of an inscribed angle if it intercepts an arc measuring 180°?

Back

90°

Front

If segment LO is a diameter of Circle P, what can be said about angle LMO?

Back

Angle LMO is a right angle (90°).

Front

What is the definition of an inscribed angle?

Back

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.

Front

If the diameter of a circle is 10, what is the radius?

Back

5.

Front

What is the formula for the length of an arc in a circle?

Back

Arc length = (θ/360) * 2πr, where θ is the central angle in degrees.

Front

If the radius of a circle is 4, what is the circumference?

Back

8π.

Front

What is the relationship between the angles formed by two intersecting chords in a circle?

Back

The measure of the angle is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.